The gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84. The median gasoline price is . The difference of the first and third quartiles in this set of gas prices is .
Answers
In order to find median of the data we have to first calculate the number of data provide as it has different process for odd and even number of elements.
In our question we have 7 elements($1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.) which is odd.
Step1: Arrange the data in ascending order: $1.61, $1.75, $1.79, $1.84, 1.96, $2.09, and $2.11
Step2: Find the middle number. It is $1.84.
Therefore the median gasoline price is $1.84
Now you have to know what is called as first quartile second quartile and third quartile. First quartile is the middle number in between your smallest number and the median. Second quartile is the median itself. And third quartile is the highest value.
In our data our first quartile is the average of $1.75, $1.79 = $1.77
our third quartile is $2.11
Their difference is $2.11 - $1.77 = $ 0.34 (Ans)